You are building a dollhouse for your enormous barbie collection the blueprint of the dollhouse uses a scale of 1: 20 the floor of the house measured 5” x 4.5” on the blueprint. what are the dimensions of the floor of the dollhouse in real life? ( in inches). part b - the material you are using for the floor costs $1.50 per square foot. how much will it cost to buy the material for the floor assuming you can buy a piece exactly the right size? show work

Part a) The dimensions of the floor of the dollhouse in real life are 100 in by 90 in

Part b)

Step-by-step explanation:

Part a) What are the dimensions of the floor of the dollhouse in real life?

we know that

The scale is 1:20

That means

1 unit in the blueprint represent 20 units in real life

or

1 inch in the blueprint represent 20 inches in real life

The dimensions of the floor on the blueprint are

5 in by 4.5 in

To find out the dimensions in real life multiply the dimensions on the blueprint by 20

5(20)=100 in

4.5(20)=90 in

therefore

The dimensions of the floor of the dollhouse in real life are 100 in by 90 in

Part b) The material you are using for the floor costs $1.50 per square foot. How much will it cost to buy the material for the floor assuming you can buy a piece exactly the right size?

Remember that

To convert inches to feet divide by 12

Convert the dimensions of the floor of the dollhouse in real life to feet

Find the area of the floor in real life

Find the cost

Multiply the area by the cost per square foot

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb